Question

The given graph shows data for the area of Pacific sea ice between $2000$ and $2012$. The best fit line is shown in the graph and the equation of the line is $A\left(t\right)=-0.187t+380.5,$ where $A\left(t\right)$ represents the area of measurable sea ice in the Pacific Ocean in the year $t$. which of the following statements accurately describes the change in the amount of measurable Pacific sea ice during the given time period?

• A. The amount of sea ice increased approximately $187,000$ square kilometers per year
• B. The amount of sea ice increased approximately $187$ million square kilometers per year
• C. The amount of sea ice decreased approximately $187,000$ square kilometers per year
• D. The amount of sea ice decreased approximately $187$ million square kilometers per year.

Answer 1

The correct option is A The amount of sea ice increased approximately $187,000$ square kilometers per year

$A\left(t\right)=-0.187t+380.5$
The change in the amount of measurable Pacific sea ice during the given time period is $2006$.
So, $t=2006$
$A\left(2006\right)=-0.187\left(2006\right)+380.5\approx 5.34$
So, $\frac{1}{5.34}=0.1872\approx 187000k{m}^2$per year.
So, option A is the correct answer.